If then y = log ⁡ x + x 2 + 25 x 2 + 25 - x then d y d x = ….

Question

If then y = log ⁡ x + x 2 + 25 x 2 + 25 - x then d y d x = …., 1 x 2 + 25, 2 x 2 + 25, - 1 x 2 + 25, - 2 x 2 + 25

MARKS App · Accepted Answer

We have, y = log ⁡ x + x 2 + 25 x 2 + 25 - x ⇒ y = log ⁡ x + x 2 + 25 2 x 2 + 25 - x 2 ⇒ y = log ⁡ x + x 2 + 25 2 25 ⇒ y = 2 log ⁡ x + x 2 + 25 - l o g 25 On differentiating both sides w.r.t.x, we get d y d x = 2 x + x 2 + 25 1 + 1 2 x 2 + 25 2 x = 2 x + x 2 + 25 x 2 + 25 + x x 2 + 25 = 2 x 2 + 25

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